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Main Goals of Quantitative Research
Measurement
Establish Causality
Generalize findings
Replication
Measurement
Data are used to understand or quantify social phenomena, concepts, and their interrelations in general
Establishing causality (internal validity)
Researchers want to know what causes health and disease and/or social phenomena
Generalization
Goal is to come up with law like findings that ply to large numbers of people (external validity)
this is of particular concern for researcher using cross sectional and longitudinal design
Experimental model research is concerned more with internal validity than external validity
Having a presented sample is essential for generalization
Replication
Provides a check for biases and routine errors
If the findings are not the same as those of the original study, the comparison provides reason to re evaluate the methods and findings of the original study
If the findings are the same, researcher have greater confidence in the original findings
Cross sectional studies: advantages
If based on representative sample of the general population:
Highly generalizable
Provides estimates of population prevalence of disease and exposures or risk markers that can be used for program and resource planning
Less costly, relatively quick, no follow-up required
Can provide important directions for further research
Associations can evaluated further with other more rigorous study designs
Cross-sectional studies: limitations
Usually cannot establish temporal relationship between exposure and outcome
Difficult to separate cause from effect
Exposure status at time of study may not be related to exposure at time disease began
Series of prevalence cases will have a higher proportion of cases with disease of long duration than series of incident cases
Can’t tell if observed associations between exposure and disease is due to association of exposure with duration
Rare condition cannot efficiently be studied using cross sectional studies because even in large samples there may be no one with the disease
Potential biases in cohort studies
Biases from no response and losses to follow up
Bias in assessment of the outcome
Particularly important if person who is assessing the outcome is aware of the participants exposure and hypothesis being tested
Information bias
Most common in historical cohort studies where different information is obtained for exposed compared to non exposed person
When is a cohort study warranted
When we have an idea of which exposures are suspected as possible causes of a disease
When we can minimize attrition (losses to follow up) of the study population
When is a cohort study not warranted
Lack of evidence to justify mounting a large and expensive study
A cohort of exposed and nonexposed persons often cannot be identified
Many of the diseases that are of interest today occur at very low rates
Cohort studies advantages
Can establish population-based incidence
Can examine rare exposures
Temporal relationship can be inferred
Time-to-event analysis is possible
Magnitude of a risk factors effect can be quantified
Selection and information biases are decreased
Multiple outcomes can be studied
Cohort studies disadvantages
Lengthy and expensive
May require very large samples
Not suitable for rare diseases
Not suitable for diseases with long-latency
Unexpected environmental changes may influence the association
No response, migration and loss to follow up biases
Sampling, ascertainment and observer biases are still possible
Even though obtain data on exposure prior to disease diagnosis, exposure at baseline may not properly reflect a person cumulative exposure
Sub-clinical disease may go undetected at baseline
Case-control studies: Advantages
Relatively inexpensive
compared with prospective cohort studies
Can study multiple exposures at once
Including investigations of interactions among exposures
Can be conducted in relatively short time period
Generally require relatively small numbers of cases and controls for study
Case-control studies: Limitations
Not well suited to study weak associations
Hard to distinguish between a true weak associations and one due to bias
If low participations rates
Often potentially differential response rates by exposure status for cases and controls leading to selection bias
Misclassification of exposure
Recall bias, poor recall or other information bias
For prevalence cases, nay be especially hard to establish temporality
Finding appropriately representative case and control groups may be difficult
Placebos
An inert substance that looks, tastes, and smells that the intervention agent
Placebos play a major role in identifying both the real benefits of the agent and the its side effects
Problems with randomized studies
Random allocation is difficult to achieve in practice
There are ethical issues in withholding educational interventions
it is virtually impossible to avoid contamination of a control or comparison area in a health promotion intervention
It is ideologically unsound for health promotion to treat people as objects health promotion research requires individual and community participation
Nominal
Describes the concept in words, much like a dictionary definition
Operational
Describes how the concept is to be measured
Nominal level of measurement
Type of scale allows a researcher to classify characteristics of the study population into categories
Qualitative measure
Least precise level of measurement
Mutually exclusive
No mathematical interpretation
Ordinal level of measurement
The characteristics can be put into categories, AND the categories can be ordered in some meaningful way
Rank ordered according to amount of characteristics the object possesses
Mutually exclusive
Distances between variables not equal across the range
Interval level of measurement
Can be rank ordered and
The actual value between values has come meaning
Numbers have meaning, but no true zero point
Indicators
Something employed to measure a concept
Can be direct or indirect measures of the concept
Tells us that there may be a link and indicate how strong that link may be
Sometimes, one indicator for each concept is adequate
Often, it is advantageous to use more than one indicator of one concept
Multiple indicators
Reduces the likelihood of misclassifying some people because the language of a question is misunderstood
Ensures the definition of the underlying concept is understood correctly
Gets access to a wider range of issues related to the concept, allows the researcher to make finer distinctions
Allows for factor analysis and cluster analysis
Helps to weed out response sets
Coding Unstructured Data
Derive codes: labels or titles given to the themes or categories
Assign numbers to the codes
Basic principles to observe
Categories must not overlap
Categories must be exhaustive
There must be clear rules for how codes are applied
Reliability
Stability over time
Internal reliability
Inter-observer consistency
Stability over time
Whether the results of a measure fluctuate as time progresses, assuming that what is being measured is not changing
Stability can be measured using the test retest method
It is extremely difficult to quantify stability over time because of the number of factors that may come into play over the passage to time
Internal reliability (internal consistency)
Whether multiple measure that are administered in one sitting are consistent
this can be measured using Cronbach’s alpha coefficient or the split half method
These calculations are completed using statistical programs
A correlation of .8 or higher on a scale of 0-1 is generally accepted as minimum of internal reliability, although results with lower figures may still be used by some researchers
Inter-observer consistency
All observers should classify behaviour or attitudes in the same way
Measurement Validity
Face validity
Concurrent validity
Construct validity
Convergent validity
Face validity
Established if, at first glance, the measure appears to be valid
Concurrent validity
Established if the measure correlates with some criterion thought to be relevant to the concept
A lack of correlation brings some doubt onto the validity of the original measure
Construct validity
Established if the concepts relate to teach other in a way that is consistent with the researchers theory
This is confirmed by seeing that the results match what would be predicted given the theory
Convergent validity
Establish if a measure of a concept correlates with a second measure of the concept that uses a different measurement technique
Advantages of Open Questions
Allow for replies that the survey researcher might not have contemplated
Make it possible to top the participants unprompted knowledge
Salient of particular issues that respondents can be examined
Can generate fixed choice format answers
Enhances spontaneity
Disadvantages of Open Questions
More time consuming
Answers must be coded
less convenient to compose an answer
May require transcribing
face interviewer variability
Advantages of Closed Questions
Minimizes intra-interviewer variability and inter-interviewer
May make it easier to understand question because the answers are provided
Can be answered quickly and easily
Disadvantages of Closed Questions
Loss of spontaneity and authenticity because relevant answers may be excluded from the choices provided
Respondents may differ in their interpretation of the wording fixed responses
Respondents may not find a fixed
Probability sampling
Uses random selection methods, associated with quantitative methods
Non-probability sampling
Does not use random selection methods, associated with qualitative research
Why sample
Minimize cost
Minimize data collection over time therefore reduce history threat
Better access to subjects such as for the study and for future research
Enhanced data quality such as focused efforts regarding recruitment types of interaction
Sources of Bias in Sampling
Not using a random method to pick a sample
The sampling frame (Human judgement that selects one group over the other)
Non-response (Some people in the sample fail to participate which skews the data
Sampling Error
DOES NOT MEAN AN ERROR WHEN SELECTING A SAMPLE
Errors of estimation that occur because there is a discrepancy between the sample statistic and the corresponding total population parameter are sampling errors
Virtually impossible to eliminate sampling error tho
Four types of Probability Samples
Simple random sample
Systematic sample
Stratified random sampling
Multi-stage cluster sampling
Simple random sample
Each element has the same probability of being selected
To select a simple random sample
Devise a sampling frame
Number all the elements consecutively starting at 1
Pick a sample size (n) from the total population (N)
Use a random number table or computer program to generate a list of random numbers
The sample will be comprised of the cases whose element numbers match the randomly generated numbers
Sampling ratio
n/N
(sample size = n, population size = N)
Systematic sample
Selected directly from the sampling frame, without using random numbers
i = size of sampling interval
To being, choose a number at random from 1 to i
The number known as a “random start”
The case with a that number is the first case to be selected
A potential problem with systematic sampling is periodicity
This occurs if the cases in the sampling frame are arranged in some systematic order
Stratified Random Sampling
This type of sampling ensures that subgroups in the population are proportionally represented in the sample
To select a stratified random sampling
Stratify the population
Select a simple random sample or a systematic sample from each stratum
Using the procedure ensures that each stratum is proportionally represented in the total sample
Multi-stage Cluster Sampling
Used for large populations
No adequate sampling frame
Elements are geographically dispersed
It involves two or more stages
Selecting clusters
Then selection subunits within the clusters
Issues with Multi-stage Cluster Sampling
Technical complications
Cluster samples are usually stratified as well
Sample Error of the Mean
Probability samples with sufficient sample sizes minimize the amount of sampling error, but some sampling error is bound to occur
This sort of sampling error is measured by a statistic called the standard error of the mean
About 95 percent of all samples means lie within 1.96 SE off the mean
Standard Error
As sample size increased, the standard error decreases
Standard error is the standard deviation of a sampling distribution
Population Variance for a paramter/n
SE = Standard Deviation/SQRT(n)
Sample Size
The abosulte size of the sample matters
As sample size increases, sampling error tends to decrease
Each size increase cuts the sampling error by 1/2, then 1/3, then ¼
Issues with Sampling Size
Non-response
The response rate is the percentage of the sample that participates in the study
If there is some particular issue common to the non-responders that brings them to differ in some important way from those who participate
Heterogeneity of the population
Generally, the greater the heterogeneity of the population on the characteristic of interest, the larger the sample size should be
Kind of analysis
The sample size needed may vary depending on what sort of analysis will be done
If small groups in the population are to be compared to larger groups, it may be necessary to oversample the smaller group in order to make meaningful comparisons
Certain statistical procedures, such as some multivariate analyses, require large sample sizes to work properly
Types of Non-Probability Sampling
Convenience Sampling
Snowball Sampling
Quota sampling
Convenience Sampling
Cases are included because they are readily available
Problem: One cannot generalize the results to some larger population with any confidence
Useful for pilot studies, for testing the reliability of measures to be used in a larger study, for developing ideas, learning how to do research
Snowball Sampling
A form of Convenience sampling
The researcher makes contact with some individuals, who in turn provide contacts for other participants
For example, students who participate in survey studies are asked to come up with the names of some non students who may be willing to participate
Quota Sampling
Collecting a specific number of cases in particular categories to match the proportion of cases in that category in the population
For example, there are quotas for people in certain groups such as age, gender, ethnicity, class
Strengths of Quota Sampling
Cheaper and easier to manage compared to random sampling
Can be conducted much more quickly than randomly sampling
Good for pilot tests, exploratory research
Weakness of Quota sampling
Not likely to be represented
Judgement about eligibility may be incorrect
It is not appropriate to calculate a standard error term from a Quota sample
Structured observation and sampling
Often no sampling frame
May involve time sampling
May include place sampling
May include behaviour sampling
Content Analysis Sampling
Sampling Media
For example, a study of newspaper articles may involve sampling of different papers, or articles on a given topic
Sampling Dates
For example, if researching media portrayals of sex workers, one could use a random method to select the years for which the media are to be analyzed
Limits to generalization
Even when a sample is selected using probability sampling, any findings can be generalized only to the population from which the sample are taken
Reducing Non-response
For telephone interviews
Call backs are useful but sometimes several are needed
For face-to-face contact
Dress appropriately
Be flexible to accommodate participants
For mailed questionnaires:
Write a good covering letter explaining the reasons for the research
Make it personal by including the respondents name and address in the cover letter and personally signed
How to reduce non-response in SFU course experience
Offer opportunity for bonus marks on final exams
Virtual Sampling Issues
Major limitation of online surveys is that not everyone is online and has technical ability to handle these kind of questionnaires
Many people have more than one email address
Some households have on computer but several users
Internet users are biased sample of the population
Few sampling frames exist for the general online population
Assessing Sample Quality
Is the sampling frame reported and open to scrutiny
Are intra-class correlations and design effects provided
Does it ensure coverage of small populations
Is the sample size large enough tot permit estimates of the key perimeters
Is the response rate high enough to have confidence about the representativeness of the above
Is there information about non-responders
How have the investigators tackled non-sampling error
Is there information on measurement error and its estimation and control